كويز تفاعلي: اختبر نفسك (8) - الرياضيات - الصف الثاني عشر متقدم

A

\(V = \frac{125\pi}{3}\)

B

\(V = \frac{98\pi}{3}\)

C

\(V = 98\pi\)

D

\(V = 125\pi\)

A

\(V = \frac{21}{2}\)

B

V = 21

C

V = 39

D

V = 78

A

\(V = 12\pi\)

B

V = 12

C

V = 6

D

V = 4

A

\(V = 10\pi\)

B

V = 10

C

\(V = 20\pi\)

D

V = 20

A

\(\frac{\sqrt{3}}{8}\)

B

\(\frac{\sqrt{3}}{6}\)

C

\(\frac{\sqrt{3}}{4}\)

D

\(\frac{\sqrt{3}}{2}\)

A

\(\frac{\pi}{2}\)

B

\(\frac{3\pi}{4}\)

C

\(\pi\)

D

\(\frac{3\pi}{2}\)

A

\int₀² (4 - y²)² dy

B

\int₀² (4 - y)² dy

C

\int₀² [(2 - y²)]² dy

D

\int₀⁴ [(2 - y²)]² dy

A

\(\frac{16}{3}\)

B

\(4\pi\)

C

\(\frac{16\pi}{3}\)

D

4

A

\(\frac{28\pi}{3}\)

B

\(\frac{8\pi}{3}\)

C

\(\frac{16\pi}{3}\)

D

\(\frac{8}{3}\)

A

\(V = \frac{32\pi}{5}\)

B

\(V = \frac{16\pi}{3}\)

C

\(V = \frac{10\pi}{3}\)

D

\(V = \frac{8\pi}{3}\)

A

\(V = \frac{16\pi}{3}\)

B

\(V = 4\pi\)

C

\(V = 6\pi\)

D

\(V = \frac{15\pi}{2}\)

A

\(V = \frac{\pi}{3}\)

B

\(V = \frac{\pi}{2}\)

C

\(V = \sqrt{3}\pi\)

D

\(V = 3\pi\)

A

\(V = \frac{13\pi}{2}\)

B

\(V = \frac{20\pi}{3}\)

C

\(V = \frac{49\pi}{6}\)

D

\(V = 9\pi\)

A

\(V = \pi \int_0^2 [(4 - y^2)^2 - 4^2] dy\)

B

\(V = \pi \int_0^2 (y^2 - 4)^2 dy\)

C

\(V = \pi \int_0^2 (4 - y^2)^2 dy\)

D

\(V = \pi \int_0^2 [4^2 - (4 - y^2)^2] dy\)

A

\(50\pi\)

B

\(\frac{500}{3}\pi\)

C

\(\frac{250}{3}\pi\)

D

\(25\pi\)

A

\(5\pi\)

B

\(2.5\pi\)

C

\(7.5\pi\)

D

\(4.5\pi\)

A

\(16\pi\)

B

\(\frac{128}{3}\pi\)

C

\(\frac{256}{3}\pi\)

D

\(256\pi\)

A

\(v = \pi \int_1^4 (5 - y - \frac{4}{y})^2 dy\)

B

\(v = \pi \int_1^4 [(\frac{4}{y})^2 - (5 - y)^2] dy\)

C

\(v = \pi \int_1^4 [(5 - y)^2 - (\frac{4}{y})^2] dy\)

D

\(v = 2\pi \int_1^4 (5 - y - \frac{4}{y})^2 dy\)

A

\(V = \int_0^3 (\frac{6-y}{2})^2 dy\)

B

\(V = \int_0^3 \pi (\frac{6-y}{2})^2 dy\)

C

\(V = \int_0^6 \pi (\frac{6-y}{2})^2 dy\)

D

\(V = \int_0^6 (\frac{6-y}{2})^2 dy\)